We have clearly seen a
significant difference between slant stacking
(or NMO stacking) and migration in how interpolation affects the result.
This is a reflection (no pun intended) on the fact that the former
is adding signals in phase while the latter is relying on massive destructive
interference to suppress those data that shouldn't contribute to the
output. (See, e.g., Levin (2004).) The constructive interference
in the 3D poststack migration example is over a fairly small patch
and has led to some unwanted noise and other artifacts. However
full prestack Kirchhoff migration suppresses the noise and confirms
the original conclusion that it is the average case, not the worst case,
of interpolation that should be the focus of integral operator system analysis.